Sequential Inverse Optimal Control of Discrete-Time SystemsOA北大核心CSTPCD

This paper presents a novel sequential inverse opti-mal control(SIOC)method for discrete-time systems,which cal-culates the unknown weight vectors of the cost function in real time using the input and output of an optimally controlled dis-crete-time system.The proposed method overcomes the limita-tions of previous approaches by eliminating the need for the invertible Jacobian assumption.It calculates the possible-solution spaces and their intersections sequentially until the dimension of the intersection space decreases to one.The remaining one-dimensional vector of the possible-solution space's intersection represents the SIOC solution.The paper presents clear condi-tions for convergence and addresses the issue of noisy data by clarifying the conditions for the singular values of the matrices that relate to the possible-solution space.The effectiveness of the proposed method is demonstrated through simulation results.